# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_arithmetics_odd(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))))<=>(p(s(t_bool,h4s_arithmetics_odd(s(t_h4s_nums_num,X2))))&p(s(t_bool,h4s_arithmetics_odd(s(t_h4s_nums_num,X1)))))),file('i/f/arithmetic/ODD__MULT', ch4s_arithmetics_ODDu_u_MULT)).
fof(5, axiom,![X6]:![X7]:((p(s(t_bool,X7))=>p(s(t_bool,X6)))=>((p(s(t_bool,X6))=>p(s(t_bool,X7)))=>s(t_bool,X7)=s(t_bool,X6))),file('i/f/arithmetic/ODD__MULT', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(27, axiom,![X1]:(p(s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,X1))))<=>~(p(s(t_bool,h4s_arithmetics_odd(s(t_h4s_nums_num,X1)))))),file('i/f/arithmetic/ODD__MULT', ah4s_arithmetics_EVENu_u_ODD)).
fof(29, axiom,![X1]:(p(s(t_bool,h4s_arithmetics_odd(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1))))))<=>~(p(s(t_bool,h4s_arithmetics_odd(s(t_h4s_nums_num,X1)))))),file('i/f/arithmetic/ODD__MULT', ah4s_arithmetics_ODD0u_c1)).
fof(33, axiom,s(t_bool,h4s_arithmetics_odd(s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,f),file('i/f/arithmetic/ODD__MULT', ah4s_arithmetics_ODD0u_c0)).
fof(34, axiom,![X2]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/arithmetic/ODD__MULT', ah4s_arithmetics_MULTu_u_CLAUSESu_c0)).
fof(35, axiom,![X2]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/arithmetic/ODD__MULT', ah4s_arithmetics_MULTu_u_CLAUSESu_c1)).
fof(38, axiom,![X1]:![X2]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))),file('i/f/arithmetic/ODD__MULT', ah4s_arithmetics_MULTu_u_SYM)).
fof(46, axiom,![X1]:(p(s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1))))))<=>~(p(s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,X1)))))),file('i/f/arithmetic/ODD__MULT', ah4s_arithmetics_EVEN0u_c1)).
fof(47, axiom,s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,t),file('i/f/arithmetic/ODD__MULT', ah4s_arithmetics_EVEN0u_c0)).
fof(48, axiom,![X1]:![X2]:(p(s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))))<=>(p(s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,X2))))|p(s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,X1)))))),file('i/f/arithmetic/ODD__MULT', ah4s_arithmetics_EVENu_u_MULT)).
# SZS output end CNFRefutation
